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Finding the Fourth Proportional to 560.70, 773.76 and 339.78

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Solution

The fourth proportional to 560.70, 773.76 and 339.78 is: 468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.70 : 773.76 = 339.78 : x
  2. Step 2: Convert to fraction form
    560.70/773.76 = 339.78/x
  3. Step 3: Cross multiply
    560.70x = 773.76 × 339.78
  4. Step 4: Simplify right side
    560.70x = 262,908.17
  5. Step 5: Solve for x
    x = 262,908.17/560.70
  6. Step 6: Final answer
    x = 468.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.